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Vector And Tensor Analysis With Applications (Dover Books On Mathematics)
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The Exposition Is Clear And The Choice Of Topics Is Excellent Prof. R. E. Williamson, Univ. Of Sussex, Brighton, Englandthis Concise Introduction To A Basic Branch Of Applied Mathematics Is Indispensable To Mathematicians, Physicists And Engineers. Eminently Readable, It Covers The Elements Of Vector And Tensor Analysis, With Applications Of The Theory To Specific Physics And Engineering Problems. It Lays Particular Stress On The Applications Of The Theory To Fluid Dynamics.The Authors Begin With A Definition Of Vectors And A Discussion Of Algebraic Operations On Vectors. The Vector Concept Is Then Generalized In A Natural Way, Leading To The Concept Of A Tensor. Chapter Three Considers Algebraic Operations On Tensors. Next, The Authors Turn To A Systematic Study Of The Differential And Integral Calculus Of Vector And Tensor Functions Of Space And Time. Finally, Vector And Tensor Analysis Is Considered From Both A Rudimentary Standpoint, And In Its Fuller Ramifications, Concluding The Volume.The Strength Of The Book Lies In The Completely Worked Out Problems And Solutions At The End Of Each Chapter. In Addition, Each Chapter Incorporates Abundant Exercise Material. Intended Primarily For Advanced Undergraduates And Graduate Students Of Math, Physics And Engineering, The Work Is Selfcontained And Accessible To Any Student With A Good Background In Calculus.Vector And Tensor Analysis With Applications Is One Of A Series Of Selected Russian Publications In The Mathematical Sciences, Several Of Which Have Already Been Published By Dover. The Authors Are Distinguished Russian Mathematicians And Specialists In Gas Dynamics And Numerical Analysis. Richard A. Silverman, Editor Of The Series As Well As Editor And Translator Of This Volume, Has Revised And Improved The Original Edition And Added A Bibliography. A Concise, Clear And Comprehensive Treatment Prof. Henry G. Booker, University Of California, San Diego
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- Q: What topics are covered in 'Vector and Tensor Analysis with Applications'? A: The book covers vector and tensor analysis, including algebraic operations on vectors and tensors, differential and integral calculus of vector and tensor functions, and applications to fluid dynamics.
- Q: Who is the target audience for this book? A: The book is primarily intended for advanced undergraduates and graduate students in mathematics, physics, and engineering, but it is accessible to anyone with a solid background in calculus.
- Q: How many pages does this book have? A: The book contains a total of 288 pages.
- Q: Is this book suitable for self-study? A: Yes, the book is self-contained, with worked-out problems and exercises at the end of each chapter, making it suitable for self-study.
- Q: What is the binding type of this book? A: This edition of the book is available in paperback binding.
- Q: When was 'Vector and Tensor Analysis with Applications' published? A: The book was published on October 1, 1979.
- Q: Who are the authors of this book? A: The book is authored by A. I. Borisenko and includes contributions from distinguished Russian mathematicians.
- Q: Does this book include exercises and solutions? A: Yes, it includes abundant exercise material and completely worked-out problems at the end of each chapter.
- Q: What makes this book unique compared to others on the same subject? A: Its clear exposition, choice of topics, and emphasis on applications in fluid dynamics set it apart from other texts in vector and tensor analysis.
- Q: Is there a bibliography included in this book? A: Yes, the revised edition includes a bibliography added by Richard A. Silverman, the editor and translator.